The first birth as a result of a womb transplant in the United States has occurred in Texas, a milestone for the U.S. but one achieved several years ago in Sweden.

A woman who had been born without a uterus gave birth to the baby at Baylor University Medical Center in Dallas.

Hospital spokesman Craig Civale confirmed Friday that the birth had taken place, but said no other details are available. The hospital did not identify the woman, citing her privacy.

Baylor has had a study underway for several years to enroll up to 10 women for uterus transplants. In October 2016, the hospital said four women had received transplants but that three of the wombs had to be removed because of poor blood flow.

The hospital would give no further information on how many transplants have been performed since then. But Time magazine, which first reported the U.S. baby's birth, says eight have been done in all, and that another woman is currently pregnant as a result.